Two finite length sequences x 1 n and x 2 n , which are zero outside the interval 0 n 99, are circularly convolved to form a new sequence y n i e , If, in fact, x 1 n is nonzero only for 10 n 39, determine the set of values of n for which y n is guaranteed to be identical to the linear convolution of x 1 n and x 2 n 99 0sns 99 k 0

Question: Two finite-length sequences x 1 [n] and x 2 [n], which are zero outside the interval 0 ? n ? 99, are circularly convolved to

Two finite-length sequences x₁[n] and x₂[n], which are zero outside the interval 0 ? n ? 99, are circularly convolved to form a new sequence y[n]; i.e.,

? 99 0sns 99. k=0

If, in fact, x₁[n] is nonzero only for 10 ? n ? 39, determine the set of values of n for which y[n] is guaranteed to be identical to the linear convolution of x₁[n] and x₂[n].

99 0sns 99. k=0

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